Front tracking applied to Rayleigh Taylor instability
SIAM Journal on Scientific and Statistical Computing
Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
A front-tracking method for viscous, incompressible, multi-fluid flows
Journal of Computational Physics
Improved volume conservation in the computation of flows with immersed elastic boundaries
Journal of Computational Physics
Numerical simulation of 3D bubbles rising in viscous liquids using a front tracking method
Journal of Computational Physics
Fast and robust solvers for pressure-correction in bubbly flow problems
Journal of Computational Physics
Simulation of bubble dynamics in a microchannel using a front-tracking method
Computers & Mathematics with Applications
Hi-index | 31.46 |
An improved numerical algorithm for front tracking method is developed to simulate the rising of a bubble in quiescent viscous liquid due to buoyancy. In the new numerical algorithm, volume correction is introduced to conserve the bubble volume while tracking the bubble's rising and deforming, and volume flux conservation based SIMPLE algorithm is adopted to solve the Navier-Stokes equation for fluid flow using finite volume method. The new front tracking algorithm is validated systematically by simulating single bubble rising and deforming in quiescent viscous liquid under different flow regimes. The simulation results are compared with the experimental measurement in terms of terminal bubble shape and velocity. The simulation results demonstrate that the new algorithm is robust in the flow regimes with larger ranges of Reynolds number (Re